Extended Abstracts 2021/2022 Ghent Analysis and PDE Seminar /

This book offers an overview of the research results presented by group members and guests of the Ghent Analysis & PDE Center during the weekly seminar that took place from 2021 to 2022. It is an informal event of the Analysis & PDE Center and associated researchers, where everyone can prese...

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Autor corporatiu: SpringerLink (Online service)
Altres autors: Ruzhansky, Michael (Editor), Van Bockstal, Karel (Editor)
Format: Electrònic eBook
Idioma:anglès
Publicat: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.
Edició:1st ed. 2024.
Col·lecció:Research Perspectives Ghent Analysis and PDE Center, 2
Matèries:
Accés en línia:https://doi.org/10.1007/978-3-031-42539-4
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Taula de continguts:
  • Part I Analysis
  • A note on a Capelli operator and its resonance
  • Schatten-von Neumann classes Sp on the torus for 0 < p ≤ 2
  • Log-Sobolev and Nash inequalities on graded groups
  • One-sided Hardy-Littlewood maximal function on generalised Lorentz spaces
  • Remarks on gradient Yamabe solitons
  • Boundedness of Fourier multipliers on fundamental domains of lattices
  • Pointwise domination and weak L1 boundedness of Littlewood-Paley operators via sparse operators
  • Hp → Lp boundedness of Fourier multipliers on graded Lie groups
  • On a reverse integral Hardy inequality on polarisable metric measure space
  • Logarithmic Sobolev inequalities of fractional order on noncommutative tori
  • The Prabhakar fractional q-integral and q-differential operators
  • A note on weak type boundedness of pseudo-differential operators on rank one symmetric spaces of noncompact type
  • Lp-Lq norms ofspectral multipliers
  • Estimates for oscillatory integrals with discontinuous amplitude
  • The unitary dual of the Heisenberg group over Rp
  • Critical Sobolev-type identities and inequalities on stratified Lie groups
  • Part II Partial differential equations
  • Anisotropic Picone type identities for general vector fields and some applications
  • An equivalence between the Neumann problem and its boundary domain integral equation systems for Stokes equations
  • Short note on generalised bivariate Mittag-Leffler-type functions
  • Inverse problems for time-fractional mixed equation involving the Caputo fractional derivative
  • Time dependent inverse source problems for integrodifferential Kelvin-Voigt system
  • A nonlocal initial conditional boundary value problem on metric graph
  • Second-order semiregular non-commutative harmonic oscillators: the spectral zeta function
  • Global well-posedness with loss of regularity for a class of singular hyperbolic Cauchy problems
  • On a mixed equationinvolving Prabhakar fractional order integral-differential operators
  • Inverse problem of determining a time-dependent source in a fractional Langevin-type partial differential equation
  • Very weak solution of the discrete wave equation for harmonic oscillator
  • An estimate for the multivariate Mittag-Leffler function
  • Part III Mathematical modelling
  • Mathematical modelling of the Lomb-Scargle method in astrophysics
  • The application of physics informed networks to solve hyperbolic partial differential equations with nonconvex flux function and diffusion term
  • Fractional differential equations: a primer for structural dynamics applications
  • Text matching as time series matching
  • Performing Particle Image Segmentation on an Extremely Small Dataset
  • Two-dimensional dispersed composites on a square torus.